10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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#include <stdio.h>
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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include *  * **** *** **  *
#include ** ** * *  

int main()
{
**  * ***  * * * * * **   ** *  ** *  * a, b, c, * ** ** * x1,x2, realPart,    ***


** ** *  ** **** ****  *****  ** *   **** *  %lf *      * * ** * &b, &c);


 ******** ***  *** *  * ** **** **  = b*b-4*a*c;

  ***** *   * *  *  * ** ***** condition for real and different roots


**  *  *********  *  *     ** * for real and equal roots
   **  * *  *  ** **   ****  * * (determinant == 0)
 ***** * * *** ***     
*  ** ** *   ****  *   * *   *    ** ** ***  ** **    **   **  = x2 = -b/(2*a);
**  **   **     **  *  ** ** *     * ****  * **  **** ****   ** *  of %.2fx^2 + %.2fx + %.2f = 0 are real and    * **   * a,b,c);
  * **  *** *** ***  *****  * **** *** * **   **** *** * * ** * *      = x2 =   **     x1);
* **   **  ** * *  **  *** ** *

  ***  **** * ** *  *    ****  * *   ****  if (determinant > 0)
  *   *           *****  
*  ** *   ******  *    * sqrt() function returns square root
* *  **  * * *     ** *****   ****    *    *** *** * *  = **  * ** ** **  
 *** *  **   **** **  * ** ***     *  * ** **  ** =  * *  **   **** **  

* ***   ****    ** *    *    ***       *** * ***   **** **   of %.2fx^2 + %.2fx + %.2f = 0 are real and  *  *    * **  * * 
  **  * ******* *   ** ** ****** *** **  *   *  *** * ***      **    * =   ***  ** x1);
  *** ***   **   *  **  * *  * ** *      ***   * ** *  * *  * **      * = **      *  ** x2);
 **  *     *   *** ****   if roots are not real
 ****  * ****  **  *    ** *    
 * * **** ** ** *  *  * *    
  ** *   * **   * * *    ** **  ***   * * **  *     ****      = -b/(2*a);
 * * **    * * *    *******   **** **  *  ***** ********   = *  *   *  *  * 
**    ** **  **   ** *** * * * ** **         ** * * *  *  * **  ** **  of %.2fx^2 + %.2fx + %.2f = 0 are complex and ** * *  * **  a,b,c);
** * *** *** *     * * ***   * ***    *  * **        *  ***  *     =    * *   *  ** realPart,  **  *  ** 
  ** **  * *** *** * ** * ****      *   ***** ***  ***   ***   * =   ** * **   * realPart,   *** ****
 * ** *** ** ** *    * *  *

* **** *** ****    ** **     0;
}
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